Answer:
The factored form of the given equation \(p^2-2p-24\) is \(\left(p+4\right)\left(p-6\right)\)
Step-by-step explanation:
Given : Equation \(p^2-2p-24\)
We have to factorize the given equation \(p^2-2p-24\)
Consider the given equation \(p^2-2p-24\)
We can solve the given equation using middle term splitting method.
Split middle term in such a way that the product of its terms is the product of its remaining two terms.
-2p can be written as 4p - 6p
\(p^2-2p-24\) can be written as \(p^2-6p+4p-24\)
Taking p common from first two term and 4 common from last two terms, we have,
\(p(p-4)+4(p-6)\)
Simplify, we have,
\(\left(p+4\right)\left(p-6\right)\)
Thus, The factored form of the given equation \(p^2-2p-24\) is \(\left(p+4\right)\left(p-6\right)\)
